Atkin-Lehner |
3+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
85701o |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-765475237544787 = -1 · 313 · 77 · 11 · 53 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33973,-2742048] |
[a1,a2,a3,a4,a6] |
j |
-36859543552000/6506432163 |
j-invariant |
L |
0.69660587416955 |
L(r)(E,1)/r! |
Ω |
0.17415145129051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12243j1 |
Quadratic twists by: -7 |